%0 Journal Article
%T Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation
%A Magdy Ahmed Mohamed
%A Mohamed Shibl Torky
%J American Journal of Computational Mathematics
%P 175-184
%@ 2161-1211
%D 2013
%I Scientific Research Publishing
%R 10.4236/ajcm.2013.33026
%X <div style=\"text-align:justify;\">
	<span style=\"font-size:12px;line-height:1.5;\">In this paper</span><span style=\"font-size:12px;line-height:1.5;\">,</span><span style=\"font-size:12px;line-height:1.5;\"> Laplace decomposition method (LDM) and Pade
approximant are employed to find approximate solutions for</span><span style=\"font-size:12px;line-height:1.5;\"> </span><span style=\"font-size:12px;line-height:1.5;\">the
Whitham</span><span style=\"font-size:12px;line-height:1.5;\">-</span><span style=\"font-size:12px;line-height:1.5;\">Broer</span><span style=\"font-size:12px;line-height:1.5;\">-</span><span style=\"font-size:12px;line-height:1.5;\">Kaup shallow water model, the coupled nonlinear reaction diffusion
equations and the</span><span style=\"font-size:12px;line-height:1.5;\"> </span><span style=\"font-size:12px;line-height:1.5;\">system of Hirota</span><span style=\"font-size:12px;line-height:1.5;\">-</span><span style=\"font-size:12px;line-height:1.5;\">Satsuma coupled KdV. In addition, the results
obtained from Laplace decomposition method (LDM) and Pade approximant are
compared with corresponding exact analytical solutions.</span> 
</div>
<p>
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</p>
<strong></strong>
%K Nonlinear System of Partial Differential Equations
%K The Laplace Decomposition Method
%K The Pade Approximation
%K The Coupled System of the Approximate Equations for Long Water Waves
%K The Whitham Broer Kaup Shallow Water Model
%K The System of Hirota-Satsuma Coupled KdV
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=35834